This study aimed to reveal the influence of independent learning and structure sense ability on mathematics connection in abstract algebra through mentoring modules as an initial step to overcome the students' difficulties in learning and to habituate students to recognize the structure sense and mathematics connections through weekly tasks. This research was conducted at the fifth-semester students of the Mathematics Education Study Program for 7 weeks. A quantitative research design with two independent variables (independent learning and structure sense ability) and one dependent variable (mathematics connection ability) was employed in this study. This study took 26 students for the sample. The data to measure independent learning was gathered through a questionnaire; the data to recognize the structure sense ability was gathered through weekly tasks, and the students' mathematics connections were measured through a test. The results of simple regression and multiple regression analyses, simultaneously with independent learning and structure sense variables, affect students' mathematics connection ability in abstract algebra course. The results indicate that independent learning is more dominant than structure sense ability in influencing students' mathematics connection ability. Thus, in order to achieve high mathematics connection abilities, students should, first, have high independent learning, and then develop the ability to recognize structure sense.